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Finding the Fourth Proportional to 434.12, 646.76 and 413.48

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Solution

The fourth proportional to 434.12, 646.76 and 413.48 is: 616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.12 : 646.76 = 413.48 : x
  2. Step 2: Convert to fraction form
    434.12/646.76 = 413.48/x
  3. Step 3: Cross multiply
    434.12x = 646.76 × 413.48
  4. Step 4: Simplify right side
    434.12x = 267,422.32
  5. Step 5: Solve for x
    x = 267,422.32/434.12
  6. Step 6: Final answer
    x = 616.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.